How do I "Show that every tangent line to the curve x^(2/3) +y^(2/3)=1 in the first quadrant has the property that the portion of the line in the first quadrant has length 1" using implicit differentiation?

Thanks bunches for any help.

October 2nd 2008, 08:06 PM

Soroban

Hello, Columbo!

Quote:

Show that every tangent line to the curve
in the first quadrant has the property that the portion of the line
in the first quadrant has length 1, using implicit differentiation.